TSTP Solution File: SWC001-1 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWC001-1 : TPTP v8.2.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n004.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue May 21 04:35:29 EDT 2024

% Result   : Unsatisfiable 0.60s 0.75s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   34 (   5 unt;   1 typ;   0 def)
%            Number of atoms       :  135 (   2 equ)
%            Maximal formula atoms :    4 (   4 avg)
%            Number of connectives :   86 (  40   ~;  42   |;   0   &)
%                                         (   4 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of FOOLs       :   56 (  56 fml;   0 var)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    2 (   1   >;   1   *;   0   +;   0  <<)
%            Number of predicates  :   15 (  13 usr;  10 prp; 0-3 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    3 (   2   !;   0   ?;   3   :)
%                                         (   1  !>;   0  ?*;   0  @-;   0  @+)

% Comments : 
%------------------------------------------------------------------------------
tff(pred_def_20,type,
    sQ0_eqProxy: 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(f272,plain,
    $false,
    inference(avatar_sat_refutation,[],[f236,f245,f246,f263,f267,f271]) ).

tff(f271,plain,
    ( ~ spl1_1
    | ~ spl1_3
    | spl1_4 ),
    inference(avatar_contradiction_clause,[],[f270]) ).

tff(f270,plain,
    ( $false
    | ~ spl1_1
    | ~ spl1_3
    | spl1_4 ),
    inference(subsumption_resolution,[],[f269,f231]) ).

tff(f231,plain,
    ( ssItem(sk5)
    | ~ spl1_1 ),
    inference(avatar_component_clause,[],[f229]) ).

tff(f229,plain,
    ( spl1_1
  <=> ssItem(sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).

tff(f269,plain,
    ( ~ ssItem(sk5)
    | ~ spl1_3
    | spl1_4 ),
    inference(subsumption_resolution,[],[f268,f240]) ).

tff(f240,plain,
    ( memberP(sk4,sk5)
    | ~ spl1_3 ),
    inference(avatar_component_clause,[],[f238]) ).

tff(f238,plain,
    ( spl1_3
  <=> memberP(sk4,sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_3])]) ).

tff(f268,plain,
    ( ~ memberP(sk4,sk5)
    | ~ ssItem(sk5)
    | spl1_4 ),
    inference(resolution,[],[f194,f243]) ).

tff(f243,plain,
    ( ~ memberP(sk3,sk5)
    | spl1_4 ),
    inference(avatar_component_clause,[],[f242]) ).

tff(f242,plain,
    ( spl1_4
  <=> memberP(sk3,sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_4])]) ).

tff(f194,axiom,
    ! [X6: $i] :
      ( memberP(sk3,X6)
      | ~ memberP(sk4,X6)
      | ~ ssItem(X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).

tff(f267,plain,
    ( ~ spl1_1
    | spl1_3
    | ~ spl1_4 ),
    inference(avatar_contradiction_clause,[],[f266]) ).

tff(f266,plain,
    ( $false
    | ~ spl1_1
    | spl1_3
    | ~ spl1_4 ),
    inference(subsumption_resolution,[],[f265,f231]) ).

tff(f265,plain,
    ( ~ ssItem(sk5)
    | spl1_3
    | ~ spl1_4 ),
    inference(subsumption_resolution,[],[f264,f244]) ).

tff(f244,plain,
    ( memberP(sk3,sk5)
    | ~ spl1_4 ),
    inference(avatar_component_clause,[],[f242]) ).

tff(f264,plain,
    ( ~ memberP(sk3,sk5)
    | ~ ssItem(sk5)
    | spl1_3 ),
    inference(resolution,[],[f193,f239]) ).

tff(f239,plain,
    ( ~ memberP(sk4,sk5)
    | spl1_3 ),
    inference(avatar_component_clause,[],[f238]) ).

tff(f193,axiom,
    ! [X6: $i] :
      ( memberP(sk4,X6)
      | ~ memberP(sk3,X6)
      | ~ ssItem(X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).

tff(f263,plain,
    spl1_2,
    inference(avatar_split_clause,[],[f192,f233]) ).

tff(f233,plain,
    ( spl1_2
  <=> duplicatefreeP(sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).

tff(f192,axiom,
    duplicatefreeP(sk3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

tff(f246,plain,
    ( ~ spl1_3
    | ~ spl1_4
    | ~ spl1_2 ),
    inference(avatar_split_clause,[],[f202,f233,f242,f238]) ).

tff(f202,plain,
    ( ~ duplicatefreeP(sk3)
    | ~ memberP(sk3,sk5)
    | ~ memberP(sk4,sk5) ),
    inference(definition_unfolding,[],[f197,f191,f191,f190]) ).

tff(f190,axiom,
    sk2 = sk4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).

tff(f191,axiom,
    sk1 = sk3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).

tff(f197,axiom,
    ( ~ duplicatefreeP(sk1)
    | ~ memberP(sk1,sk5)
    | ~ memberP(sk2,sk5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).

tff(f245,plain,
    ( spl1_3
    | spl1_4
    | ~ spl1_2 ),
    inference(avatar_split_clause,[],[f201,f233,f242,f238]) ).

tff(f201,plain,
    ( ~ duplicatefreeP(sk3)
    | memberP(sk3,sk5)
    | memberP(sk4,sk5) ),
    inference(definition_unfolding,[],[f196,f191,f191,f190]) ).

tff(f196,axiom,
    ( ~ duplicatefreeP(sk1)
    | memberP(sk1,sk5)
    | memberP(sk2,sk5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).

tff(f236,plain,
    ( spl1_1
    | ~ spl1_2 ),
    inference(avatar_split_clause,[],[f200,f233,f229]) ).

tff(f200,plain,
    ( ~ duplicatefreeP(sk3)
    | ssItem(sk5) ),
    inference(definition_unfolding,[],[f195,f191]) ).

tff(f195,axiom,
    ( ~ duplicatefreeP(sk1)
    | ssItem(sk5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SWC001-1 : TPTP v8.2.0. Released v2.4.0.
% 0.07/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.36  % Computer : n004.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Sun May 19 02:39:08 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.14/0.36  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.59/0.75  % (14950)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on theBenchmark for (2996ds/83Mi)
% 0.59/0.75  % (14944)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on theBenchmark for (2996ds/34Mi)
% 0.59/0.75  % (14946)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.59/0.75  % (14945)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on theBenchmark for (2996ds/51Mi)
% 0.59/0.75  % (14948)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on theBenchmark for (2996ds/34Mi)
% 0.59/0.75  % (14947)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.59/0.75  % (14949)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.59/0.75  % (14944)First to succeed.
% 0.59/0.75  % (14949)Also succeeded, but the first one will report.
% 0.59/0.75  % (14947)Also succeeded, but the first one will report.
% 0.59/0.75  % (14946)Also succeeded, but the first one will report.
% 0.59/0.75  % (14944)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-14943"
% 0.59/0.75  % (14951)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.60/0.75  % (14944)Refutation found. Thanks to Tanya!
% 0.60/0.75  % SZS status Unsatisfiable for theBenchmark
% 0.60/0.75  % SZS output start Proof for theBenchmark
% See solution above
% 0.60/0.75  % (14944)------------------------------
% 0.60/0.75  % (14944)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.75  % (14944)Termination reason: Refutation
% 0.60/0.75  
% 0.60/0.75  % (14944)Memory used [KB]: 1191
% 0.60/0.75  % (14944)Time elapsed: 0.004 s
% 0.60/0.75  % (14944)Instructions burned: 5 (million)
% 0.60/0.75  % (14943)Success in time 0.381 s
% 0.60/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------